Impulsive Responses of Framed Structures Using a Matrix Method with a Numerical Laplace Transform : 1st Report, A Case of Structures Consisting of Straight-Bar Elements

Abstract

A universal program is developed with which impulsive responses of framed structures consisting of straight-bar elements are analyzed. The matrix method described in this paper constitutes superposition of analytical Laplace transformed solutions given from longitudinal, bending and torsional dynamic equations for each element. For inversion of the Laplace transformed solutions, a fast Fourier transform method is used. Numerical and experimental results are compared for problems of two-and three-dimensional framed structures having rigid or pin joints. Then, it is found that the program can be used to obtain accurate numerical results with a fewer number of elements.